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354 lines
17 KiB
XML
354 lines
17 KiB
XML
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<?xml version="1.0" encoding="UTF-8"?>
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<!DOCTYPE book PUBLIC "-//OASIS//DTD DocBook MathML Module V1.1b1//EN"
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"http://www.oasis-open.org/docbook/xml/mathml/1.1CR1/dbmathml.dtd">
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<refentry id="glMapGrid">
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<refmeta>
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<refmetainfo>
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<copyright>
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<year>1991-2006</year>
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<holder>Silicon Graphics, Inc.</holder>
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</copyright>
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</refmetainfo>
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<refentrytitle>glMapGrid</refentrytitle>
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<manvolnum>3G</manvolnum>
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</refmeta>
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<refnamediv>
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<refname>glMapGrid</refname>
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<refpurpose>define a one- or two-dimensional mesh</refpurpose>
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</refnamediv>
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<refsynopsisdiv><title>C Specification</title>
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<funcsynopsis>
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<funcprototype>
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<funcdef>void <function>glMapGrid1d</function></funcdef>
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<paramdef>GLint <parameter>un</parameter></paramdef>
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<paramdef>GLdouble <parameter>u1</parameter></paramdef>
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<paramdef>GLdouble <parameter>u2</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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<funcsynopsis>
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<funcprototype>
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<funcdef>void <function>glMapGrid1f</function></funcdef>
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<paramdef>GLint <parameter>un</parameter></paramdef>
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<paramdef>GLfloat <parameter>u1</parameter></paramdef>
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<paramdef>GLfloat <parameter>u2</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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<funcsynopsis>
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<funcprototype>
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<funcdef>void <function>glMapGrid2d</function></funcdef>
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<paramdef>GLint <parameter>un</parameter></paramdef>
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<paramdef>GLdouble <parameter>u1</parameter></paramdef>
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<paramdef>GLdouble <parameter>u2</parameter></paramdef>
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<paramdef>GLint <parameter>vn</parameter></paramdef>
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<paramdef>GLdouble <parameter>v1</parameter></paramdef>
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<paramdef>GLdouble <parameter>v2</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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<funcsynopsis>
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<funcprototype>
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<funcdef>void <function>glMapGrid2f</function></funcdef>
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<paramdef>GLint <parameter>un</parameter></paramdef>
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<paramdef>GLfloat <parameter>u1</parameter></paramdef>
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<paramdef>GLfloat <parameter>u2</parameter></paramdef>
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<paramdef>GLint <parameter>vn</parameter></paramdef>
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<paramdef>GLfloat <parameter>v1</parameter></paramdef>
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<paramdef>GLfloat <parameter>v2</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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</refsynopsisdiv>
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<!-- eqn: ignoring delim $$ -->
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<refsect1 id="parameters"><title>Parameters</title>
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<variablelist>
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<varlistentry>
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<term><parameter>un</parameter></term>
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<listitem>
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<para>
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Specifies the number of partitions in the grid range interval
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[<parameter>u1</parameter>, <parameter>u2</parameter>].
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Must be positive.
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</para>
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</listitem>
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</varlistentry>
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<varlistentry>
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<term><parameter>u1</parameter></term>
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<term><parameter>u2</parameter></term>
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<listitem>
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<para>
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Specify the mappings for integer grid domain values
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<inlineequation><mml:math>
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<!-- eqn: i = 0:-->
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<mml:mrow>
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<mml:mi mathvariant="italic">i</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mn>0</mml:mn>
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</mml:mrow>
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</mml:math></inlineequation>
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and
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<inlineequation><mml:math>
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<!-- eqn: i = un:-->
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<mml:mrow>
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<mml:mi mathvariant="italic">i</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mi mathvariant="italic">un</mml:mi>
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</mml:mrow>
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</mml:math></inlineequation>.
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</para>
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</listitem>
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</varlistentry>
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<varlistentry>
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<term><parameter>vn</parameter></term>
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<listitem>
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<para>
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Specifies the number of partitions in the grid range interval
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[<parameter>v1</parameter>, <parameter>v2</parameter>]
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(<function>glMapGrid2</function> only).
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</para>
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</listitem>
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</varlistentry>
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<varlistentry>
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<term><parameter>v1</parameter></term>
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<term><parameter>v2</parameter></term>
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<listitem>
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<para>
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Specify the mappings for integer grid domain values
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<inlineequation><mml:math>
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<!-- eqn: j = 0:-->
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<mml:mrow>
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<mml:mi mathvariant="italic">j</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mn>0</mml:mn>
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</mml:mrow>
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</mml:math></inlineequation>
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and
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<inlineequation><mml:math>
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<!-- eqn: j = vn:-->
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<mml:mrow>
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<mml:mi mathvariant="italic">j</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mi mathvariant="italic">vn</mml:mi>
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</mml:mrow>
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</mml:math></inlineequation>
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(<function>glMapGrid2</function> only).
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</para>
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</listitem>
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</varlistentry>
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</variablelist>
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</refsect1>
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<refsect1 id="description"><title>Description</title>
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<para>
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<function>glMapGrid</function> and <citerefentry><refentrytitle>glEvalMesh</refentrytitle></citerefentry> are used together to efficiently
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generate and evaluate a series of evenly-spaced map domain values.
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<citerefentry><refentrytitle>glEvalMesh</refentrytitle></citerefentry> steps through the integer domain
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of a one- or two-dimensional grid,
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whose range is the domain of the evaluation maps specified by
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<citerefentry><refentrytitle>glMap1</refentrytitle></citerefentry> and <citerefentry><refentrytitle>glMap2</refentrytitle></citerefentry>.
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</para>
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<para>
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<function>glMapGrid1</function> and <function>glMapGrid2</function> specify the linear grid mappings
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between the
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<inlineequation><mml:math><mml:mi mathvariant="italic">i</mml:mi></mml:math></inlineequation>
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(or
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<inlineequation><mml:math><mml:mi mathvariant="italic">i</mml:mi></mml:math></inlineequation>
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and
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<inlineequation><mml:math><mml:mi mathvariant="italic">j</mml:mi></mml:math></inlineequation>)
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integer grid coordinates,
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to the
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<inlineequation><mml:math><mml:mi mathvariant="italic">u</mml:mi></mml:math></inlineequation>
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(or
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<inlineequation><mml:math><mml:mi mathvariant="italic">u</mml:mi></mml:math></inlineequation>
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and
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<inlineequation><mml:math><mml:mi mathvariant="italic">v</mml:mi></mml:math></inlineequation>)
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floating-point evaluation map coordinates.
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See <citerefentry><refentrytitle>glMap1</refentrytitle></citerefentry> and <citerefentry><refentrytitle>glMap2</refentrytitle></citerefentry> for details of how
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<inlineequation><mml:math><mml:mi mathvariant="italic">u</mml:mi></mml:math></inlineequation>
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and
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<inlineequation><mml:math><mml:mi mathvariant="italic">v</mml:mi></mml:math></inlineequation>
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coordinates
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are evaluated.
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</para>
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<para>
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<function>glMapGrid1</function> specifies a single linear mapping
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such that integer grid coordinate 0 maps exactly to <parameter>u1</parameter>,
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and integer grid coordinate <parameter>un</parameter> maps exactly to <parameter>u2</parameter>.
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All other integer grid coordinates
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<inlineequation><mml:math><mml:mi mathvariant="italic">i</mml:mi></mml:math></inlineequation>
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are mapped so that
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</para>
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<para>
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<informalequation><mml:math>
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<!-- eqn: u = i (u2 - u1) / un + u1:-->
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<mml:mrow>
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<mml:mi mathvariant="italic">u</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mrow>
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<mml:mfrac>
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<mml:mrow>
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<mml:mi mathvariant="italic">i</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mi mathvariant="italic">u2</mml:mi>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">u1</mml:mi>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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<mml:mi mathvariant="italic">un</mml:mi>
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</mml:mfrac>
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<mml:mo>+</mml:mo>
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<mml:mi mathvariant="italic">u1</mml:mi>
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</mml:mrow>
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</mml:mrow>
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</mml:math></informalequation>
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</para>
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<para>
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<function>glMapGrid2</function> specifies two such linear mappings.
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One maps integer grid coordinate
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<inlineequation><mml:math>
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<!-- eqn: i = 0:-->
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<mml:mrow>
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<mml:mi mathvariant="italic">i</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mn>0</mml:mn>
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</mml:mrow>
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</mml:math></inlineequation>
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exactly to <parameter>u1</parameter>,
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and integer grid coordinate
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<inlineequation><mml:math>
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<!-- eqn: i = un:-->
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<mml:mrow>
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<mml:mi mathvariant="italic">i</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mi mathvariant="italic">un</mml:mi>
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</mml:mrow>
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</mml:math></inlineequation>
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exactly to <parameter>u2</parameter>.
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The other maps integer grid coordinate
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<inlineequation><mml:math>
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<!-- eqn: j = 0:-->
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<mml:mrow>
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<mml:mi mathvariant="italic">j</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mn>0</mml:mn>
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</mml:mrow>
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</mml:math></inlineequation>
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exactly to <parameter>v1</parameter>,
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and integer grid coordinate
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<inlineequation><mml:math>
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<!-- eqn: j = vn:-->
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<mml:mrow>
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<mml:mi mathvariant="italic">j</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mi mathvariant="italic">vn</mml:mi>
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</mml:mrow>
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</mml:math></inlineequation>
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exactly to <parameter>v2</parameter>.
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Other integer grid coordinates
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<inlineequation><mml:math><mml:mi mathvariant="italic">i</mml:mi></mml:math></inlineequation>
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and
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<inlineequation><mml:math><mml:mi mathvariant="italic">j</mml:mi></mml:math></inlineequation>
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are mapped such that
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</para>
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<para>
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<informalequation><mml:math>
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<!-- eqn: u = i (u2 - u1) / un + u1:-->
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<mml:mrow>
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<mml:mi mathvariant="italic">u</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mrow>
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<mml:mfrac>
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<mml:mrow>
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<mml:mi mathvariant="italic">i</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mi mathvariant="italic">u2</mml:mi>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">u1</mml:mi>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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<mml:mi mathvariant="italic">un</mml:mi>
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</mml:mfrac>
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<mml:mo>+</mml:mo>
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<mml:mi mathvariant="italic">u1</mml:mi>
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</mml:mrow>
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</mml:mrow>
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</mml:math></informalequation>
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</para>
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<para>
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<informalequation><mml:math>
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<!-- eqn: v = j (v2 - v1) / vn + v1:-->
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<mml:mrow>
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<mml:mi mathvariant="italic">v</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mrow>
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<mml:mfrac>
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<mml:mrow>
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<mml:mi mathvariant="italic">j</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mi mathvariant="italic">v2</mml:mi>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">v1</mml:mi>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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<mml:mi mathvariant="italic">vn</mml:mi>
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</mml:mfrac>
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<mml:mo>+</mml:mo>
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<mml:mi mathvariant="italic">v1</mml:mi>
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</mml:mrow>
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</mml:mrow>
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</mml:math></informalequation>
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</para>
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<para>
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The mappings specified by <function>glMapGrid</function> are used identically by
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<citerefentry><refentrytitle>glEvalMesh</refentrytitle></citerefentry> and <citerefentry><refentrytitle>glEvalPoint</refentrytitle></citerefentry>.
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</para>
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</refsect1>
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<refsect1 id="errors"><title>Errors</title>
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<para>
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<constant>GL_INVALID_VALUE</constant> is generated if either <parameter>un</parameter> or <parameter>vn</parameter> is not
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positive.
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</para>
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<para>
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<constant>GL_INVALID_OPERATION</constant> is generated if <function>glMapGrid</function>
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is executed between the execution of <citerefentry><refentrytitle>glBegin</refentrytitle></citerefentry>
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and the corresponding execution of <citerefentry><refentrytitle>glEnd</refentrytitle></citerefentry>.
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</para>
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</refsect1>
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<refsect1 id="associatedgets"><title>Associated Gets</title>
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|
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<para>
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<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_MAP1_GRID_DOMAIN</constant>
|
||
|
|
</para>
|
||
|
|
<para>
|
||
|
|
<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_MAP2_GRID_DOMAIN</constant>
|
||
|
|
</para>
|
||
|
|
<para>
|
||
|
|
<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_MAP1_GRID_SEGMENTS</constant>
|
||
|
|
</para>
|
||
|
|
<para>
|
||
|
|
<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_MAP2_GRID_SEGMENTS</constant>
|
||
|
|
</para>
|
||
|
|
</refsect1>
|
||
|
|
<refsect1 id="seealso"><title>See Also</title>
|
||
|
|
<para>
|
||
|
|
<citerefentry><refentrytitle>glEvalCoord</refentrytitle></citerefentry>,
|
||
|
|
<citerefentry><refentrytitle>glEvalMesh</refentrytitle></citerefentry>,
|
||
|
|
<citerefentry><refentrytitle>glEvalPoint</refentrytitle></citerefentry>,
|
||
|
|
<citerefentry><refentrytitle>glMap1</refentrytitle></citerefentry>,
|
||
|
|
<citerefentry><refentrytitle>glMap2</refentrytitle></citerefentry>
|
||
|
|
</para>
|
||
|
|
</refsect1>
|
||
|
|
<refsect1 id="Copyright"><title>Copyright</title>
|
||
|
|
<para>
|
||
|
|
Copyright <trademark class="copyright"></trademark> 1991-2006
|
||
|
|
Silicon Graphics, Inc. This document is licensed under the SGI
|
||
|
|
Free Software B License. For details, see
|
||
|
|
<ulink url="http://oss.sgi.com/projects/FreeB/">http://oss.sgi.com/projects/FreeB/</ulink>.
|
||
|
|
</para>
|
||
|
|
</refsect1>
|
||
|
|
</refentry>
|